33 citations · 72 across the 28 of their papers we have counts for
29 papers
Squaring the circle: embedding in
Ian Doust, Anthony Weston
Let be the unit circle endowed with the arc length metric. This paper concerns the question of which subsets of can be embedded isometrically into the sequence…
Linear systems, spectral curves and determinants
Gordon Blower, Ian Doust
Let be a continuous time linear system with state space a separable complex Hilbert space , where generates a strongly continuous contraction semigroup $(e^{-tA}…
Polygonal equalities and -negative type
Ian Doust, Anthony Weston
Nontrivial -polygonal equalities impose certain conditions on the geometry of a metric space and so it is of interest to be able to identify the values of $p \in [0,\inf…
Beyond trees: the metric geometry of subsets of weighted Hamming cubes
Ian Doust, Anthony Weston
Associated to any finite metric space are a large number of objects and quantities which provide some degree of structural or geometric information about the space. In this paper w…
Tietze type extensions for absolutely continuous functions in the plane
Ian Doust, Alan Stoneham
It is an open problem whether one can always extend an absolutely continuous function (in the sense of Ashton and Doust) on a compact subset of the plane to a larger compact set. I…
Linear systems, Hankel products and the sinh-Gordon equation
Gordon Blower, Ian Doust
Let be a linear system in continuous time with input and output space and state space . The scattering functions det…